Maths: Trigonometry 5 - Sine and Cosine Rules

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  • Created by: emilie
  • Created on: 25-05-11 14:43

Sine and cosine can be used on any triangle, not just right-angled triangles. But as there is no right angle, there is no hypotenuse, so different formulae are needed

Sine Rule( (

Notice that the small letters, for the lengths of the sides, are opposite to the corresponding capital letters for the angles.

So for this triangle…


You are given angles A and C and side c, so use


B=180-(60+45)=75 and now


So, if an angle and the length of its opposite side is known, then the other angles and sides can be worked out, using just one other length or angle. But be careful when the triangle is obtuse angled, because, for example, sin50 = sin130, that is…



A clearly written set of questions and answers on sine rule and cosine rule


Really helpful but I can't find answers for the question at the end.


Very bad. The pictures aren't coming up and instead there are crosses. 


Some Old Hag Cracked All Her Teeth On Apples

Sin=Opposite*Hypotenuse Cos=Adjacent*Hypotenuse Tangent/Tan=Opposite*Adjacent

* - Over


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